English

The factorization method for the inverse acoustic scattering problems with limited aperture data

Analysis of PDEs 2019-03-12 v2

Abstract

We study the factorization method for the inverse acoustic scattering problems in the case of limited aperture data. In this case, the factorization of the far field operator is not symmetric. So, we can not apply the original factorization method which requires the symmetricity of the factorization. In this paper, we provide a new functional analytic theorem corresponding to the case of limited aperture data, and by applying it, we give the characterizations of the unknown domain.

Keywords

Cite

@article{arxiv.1810.01721,
  title  = {The factorization method for the inverse acoustic scattering problems with limited aperture data},
  author = {Takashi Furuya},
  journal= {arXiv preprint arXiv:1810.01721},
  year   = {2019}
}

Comments

This paper was not correct. Theorem 4.1 has errors

R2 v1 2026-06-23T04:27:08.392Z